Theorems · Theorem · commutative algebra
WittVector.coeff_frobenius_charP
∀ (p : ℕ) {R : Type u_1} [hp : Fact (Nat.Prime p)] [inst : CommRing R] [CharP R p] (x : WittVector p R) (n : ℕ),
(WittVector.frobenius x).coeff n = x.coeff n ^ p- Defined in
- Mathlib.RingTheory.WittVector.Frobenius
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 143 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites29
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebraproof · cited by 11,388
- RingHomstatement · cited by 10,189
- Algebra.algebraMapproof · cited by 4,706
- Factstatement and proof · cited by 2,726
- MvPolynomialproof · cited by 2,140
- Nat.Primestatement and proof · cited by 2,059
- ZModproof · cited by 1,024
- RingHom.compproof · cited by 899
- MvPolynomial.Xproof · cited by 552
- map_powproof · cited by 503
Cited by9
Results whose statement or proof uses this declaration.
- WittVector.verschiebung_frobeniusproof · cited by 4
- WittVector.mul_charP_coeff_succproof · cited by 3
- WittVector.mul_charP_coeff_zeroproof · cited by 3
- WittVector.coeff_p_powproof · cited by 2
- WittVector.iterate_frobenius_coeffproof · cited by 2
- WittVector.coeff_p_pow_eq_zeroproof · cited by 1
- WittVector.frobenius_frobeniusRotationproof · cited by 1
- WittVector.frobenius_zmodpproof · cited by 1
- WittVector.frobenius_eq_map_frobeniusproof · cited by 0